{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0c2614cb-b54b-4e38-b672-caf1d99204ee",
   "metadata": {},
   "source": [
    "Chapter 17\n",
    "\n",
    "# 主元回归\n",
    "Book_7《机器学习》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3a70014f-aa0c-4b97-b9d9-570a934254b4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# !pip install yfinance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2c1dcc5a-48eb-4b71-bd44-b7ff868ee026",
   "metadata": {},
   "outputs": [],
   "source": [
    "# initializations\n",
    "import pandas as pd\n",
    "import pandas_datareader as web\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import yfinance as yf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5890bdff-b769-46ce-b522-d950716af1fb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%%**********************]  13 of 13 completed\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
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       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th colspan=\"10\" halign=\"left\">Adj Close</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>COST</th>\n",
       "      <th>F</th>\n",
       "      <th>GM</th>\n",
       "      <th>JNJ</th>\n",
       "      <th>JPM</th>\n",
       "      <th>MCD</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>PFE</th>\n",
       "      <th>TSLA</th>\n",
       "      <th>USB</th>\n",
       "      <th>...</th>\n",
       "      <th>JNJ</th>\n",
       "      <th>JPM</th>\n",
       "      <th>MCD</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>PFE</th>\n",
       "      <th>TSLA</th>\n",
       "      <th>USB</th>\n",
       "      <th>WMT</th>\n",
       "      <th>YUM</th>\n",
       "      <th>SP500</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>275.58</td>\n",
       "      <td>8.08</td>\n",
       "      <td>36.48</td>\n",
       "      <td>131.09</td>\n",
       "      <td>125.02</td>\n",
       "      <td>184.27</td>\n",
       "      <td>329.81</td>\n",
       "      <td>31.81</td>\n",
       "      <td>28.68</td>\n",
       "      <td>50.50</td>\n",
       "      <td>...</td>\n",
       "      <td>5777000</td>\n",
       "      <td>10803700</td>\n",
       "      <td>3554200</td>\n",
       "      <td>4485800</td>\n",
       "      <td>16514072</td>\n",
       "      <td>142981500</td>\n",
       "      <td>5002100</td>\n",
       "      <td>6764900</td>\n",
       "      <td>1369900</td>\n",
       "      <td>3459930000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>275.81</td>\n",
       "      <td>7.90</td>\n",
       "      <td>35.44</td>\n",
       "      <td>129.57</td>\n",
       "      <td>123.37</td>\n",
       "      <td>183.62</td>\n",
       "      <td>325.90</td>\n",
       "      <td>31.64</td>\n",
       "      <td>29.53</td>\n",
       "      <td>49.91</td>\n",
       "      <td>...</td>\n",
       "      <td>5752400</td>\n",
       "      <td>10386800</td>\n",
       "      <td>2767600</td>\n",
       "      <td>3806900</td>\n",
       "      <td>14922848</td>\n",
       "      <td>266677500</td>\n",
       "      <td>5161800</td>\n",
       "      <td>5399200</td>\n",
       "      <td>1145500</td>\n",
       "      <td>3484700000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>275.88</td>\n",
       "      <td>7.85</td>\n",
       "      <td>34.97</td>\n",
       "      <td>129.41</td>\n",
       "      <td>123.27</td>\n",
       "      <td>185.69</td>\n",
       "      <td>335.83</td>\n",
       "      <td>31.60</td>\n",
       "      <td>30.10</td>\n",
       "      <td>49.22</td>\n",
       "      <td>...</td>\n",
       "      <td>7731300</td>\n",
       "      <td>10259000</td>\n",
       "      <td>4660400</td>\n",
       "      <td>5663100</td>\n",
       "      <td>15771951</td>\n",
       "      <td>151995000</td>\n",
       "      <td>6869200</td>\n",
       "      <td>6445500</td>\n",
       "      <td>1454100</td>\n",
       "      <td>3702460000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-07</th>\n",
       "      <td>275.45</td>\n",
       "      <td>7.93</td>\n",
       "      <td>34.30</td>\n",
       "      <td>130.20</td>\n",
       "      <td>121.18</td>\n",
       "      <td>185.96</td>\n",
       "      <td>330.75</td>\n",
       "      <td>31.49</td>\n",
       "      <td>31.27</td>\n",
       "      <td>48.76</td>\n",
       "      <td>...</td>\n",
       "      <td>7382900</td>\n",
       "      <td>10531300</td>\n",
       "      <td>4047400</td>\n",
       "      <td>4703200</td>\n",
       "      <td>20108107</td>\n",
       "      <td>268231500</td>\n",
       "      <td>4006800</td>\n",
       "      <td>6846900</td>\n",
       "      <td>1388600</td>\n",
       "      <td>3435910000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-08</th>\n",
       "      <td>278.61</td>\n",
       "      <td>7.93</td>\n",
       "      <td>33.81</td>\n",
       "      <td>130.18</td>\n",
       "      <td>122.12</td>\n",
       "      <td>188.97</td>\n",
       "      <td>339.26</td>\n",
       "      <td>31.75</td>\n",
       "      <td>32.81</td>\n",
       "      <td>48.65</td>\n",
       "      <td>...</td>\n",
       "      <td>6605800</td>\n",
       "      <td>9695300</td>\n",
       "      <td>5284200</td>\n",
       "      <td>7104500</td>\n",
       "      <td>16403507</td>\n",
       "      <td>467164500</td>\n",
       "      <td>5627500</td>\n",
       "      <td>5875800</td>\n",
       "      <td>1521500</td>\n",
       "      <td>3726840000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 78 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           Adj Close                                                      \\\n",
       "                COST     F     GM     JNJ     JPM     MCD    NFLX    PFE   \n",
       "Date                                                                       \n",
       "2020-01-02    275.58  8.08  36.48  131.09  125.02  184.27  329.81  31.81   \n",
       "2020-01-03    275.81  7.90  35.44  129.57  123.37  183.62  325.90  31.64   \n",
       "2020-01-06    275.88  7.85  34.97  129.41  123.27  185.69  335.83  31.60   \n",
       "2020-01-07    275.45  7.93  34.30  130.20  121.18  185.96  330.75  31.49   \n",
       "2020-01-08    278.61  7.93  33.81  130.18  122.12  188.97  339.26  31.75   \n",
       "\n",
       "                          ...   Volume                                        \\\n",
       "             TSLA    USB  ...      JNJ       JPM      MCD     NFLX       PFE   \n",
       "Date                      ...                                                  \n",
       "2020-01-02  28.68  50.50  ...  5777000  10803700  3554200  4485800  16514072   \n",
       "2020-01-03  29.53  49.91  ...  5752400  10386800  2767600  3806900  14922848   \n",
       "2020-01-06  30.10  49.22  ...  7731300  10259000  4660400  5663100  15771951   \n",
       "2020-01-07  31.27  48.76  ...  7382900  10531300  4047400  4703200  20108107   \n",
       "2020-01-08  32.81  48.65  ...  6605800   9695300  5284200  7104500  16403507   \n",
       "\n",
       "                                                              \n",
       "                 TSLA      USB      WMT      YUM       SP500  \n",
       "Date                                                          \n",
       "2020-01-02  142981500  5002100  6764900  1369900  3459930000  \n",
       "2020-01-03  266677500  5161800  5399200  1145500  3484700000  \n",
       "2020-01-06  151995000  6869200  6445500  1454100  3702460000  \n",
       "2020-01-07  268231500  4006800  6846900  1388600  3435910000  \n",
       "2020-01-08  467164500  5627500  5875800  1521500  3726840000  \n",
       "\n",
       "[5 rows x 78 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tickers = ['^GSPC','TSLA','WMT','MCD','USB',\n",
    "           'YUM','NFLX','JPM','PFE',\n",
    "           'F','GM','COST','JNJ'];\n",
    "\n",
    "# stock_levels_df = web.get_data_yahoo(tickers, start = '2020-07-01', end = '2020-12-31')\n",
    "stock_levels_df = yf.download(tickers, start='2020-01-01', end='2020-12-31')\n",
    "\n",
    "stock_levels_df = stock_levels_df.rename(columns={\"^GSPC\": \"SP500\"})\n",
    "stock_levels_df.round(2).head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "09bc5435-d62b-4c3a-aeb5-229339c8d957",
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_levels_df.to_csv('stock_levels_df.csv')\n",
    "stock_levels_df.to_pickle('stock_levels_df.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c499169c-acb2-4e42-a240-4e4919c7869b",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_X_df = stock_levels_df['Adj Close'].pct_change()\n",
    "y_X_df = y_X_df.dropna()\n",
    "\n",
    "\n",
    "X_df = y_X_df[tickers[1:]]\n",
    "y_df = y_X_df[\"SP500\"]\n",
    "\n",
    "labels = ['SP500','TSLA','WMT','MCD','USB',\n",
    "           'YUM','NFLX','JPM','PFE',\n",
    "           'F','GM','COST','JNJ'];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6c382673-7a07-4eca-ba0a-6e3fe4a990ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1c9a55f74f0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 593.875x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% Lineplot of stock prices\n",
    "\n",
    "# normalize the initial stock price levels to 1\n",
    "normalized_stock_levels = stock_levels_df['Adj Close']/stock_levels_df['Adj Close'].iloc[0]\n",
    "\n",
    "g = sns.relplot(data=normalized_stock_levels,dashes = False,\n",
    "                kind=\"line\") # , palette=\"coolwarm\"\n",
    "g.set_xlabels('Date')\n",
    "g.set_ylabels('Normalized closing price')\n",
    "g.set_xticklabels(rotation=45)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b2aa03b8-8511-4692-89d7-1e083a84306b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '[y, X]')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax = sns.heatmap(y_X_df,\n",
    "                 cmap='RdBu_r',\n",
    "                 cbar_kws={\"orientation\": \"vertical\"}, \n",
    "                 yticklabels=False,\n",
    "                 vmin = -0.2, vmax = 0.2)\n",
    "plt.title('[y, X]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4f1f1acd-b908-43b0-8d78-407d33d2cdef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 45.0)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% distribution of column features of X\n",
    "\n",
    "fig, axs = plt.subplots(2,2)\n",
    "\n",
    "sns.kdeplot(ax = axs[0,0], \n",
    "            data=y_X_df[labels[0:4]],\n",
    "            fill=False, \n",
    "            common_norm=False, \n",
    "            alpha=.3, linewidth=1,\n",
    "            palette = \"viridis\")\n",
    "\n",
    "axs[0,0].set_xlim([-0.1,0.1])\n",
    "axs[0,0].set_ylim([0, 45])\n",
    "\n",
    "sns.kdeplot(ax = axs[0,1], \n",
    "            data=y_X_df[labels[4:7]],\n",
    "            fill=False, \n",
    "            common_norm=False, \n",
    "            alpha=.3, linewidth=1,\n",
    "            palette = \"viridis\")\n",
    "\n",
    "axs[0,1].set_xlim([-0.1,0.1])\n",
    "axs[0,1].set_ylim([0, 45])\n",
    "\n",
    "sns.kdeplot(ax = axs[1,0], \n",
    "            data=y_X_df[labels[7:10]],\n",
    "            fill=False, \n",
    "            common_norm=False, \n",
    "            alpha=.3, linewidth=1,\n",
    "            palette = \"viridis\")\n",
    "\n",
    "axs[1,0].set_xlim([-0.1,0.1])\n",
    "axs[1,0].set_ylim([0, 45])\n",
    "\n",
    "sns.kdeplot(ax = axs[1,1], \n",
    "            data=y_X_df[labels[10:]],\n",
    "            fill=False, \n",
    "            common_norm=False, \n",
    "            alpha=.3, linewidth=1,\n",
    "            palette = \"viridis\")\n",
    "\n",
    "axs[1,1].set_xlim([-0.1,0.1])\n",
    "axs[1,1].set_ylim([0, 45])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7e9b7541-8404-4c71-97fe-b928bc942af4",
   "metadata": {},
   "outputs": [],
   "source": [
    "#%% PCA\n",
    "\n",
    "from sklearn.decomposition import PCA\n",
    "pcamodel = PCA(n_components=4)\n",
    "pca = pcamodel.fit_transform(X_df)\n",
    "\n",
    "#%% Heatmap of V\n",
    "\n",
    "V = pcamodel.components_.transpose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4720e8bd-fea4-4ac4-ba3b-4a82bedc7e75",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'V.T@V')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax = sns.heatmap(V,\n",
    "                 cmap='RdBu_r',\n",
    "                 xticklabels=['PC1','PC2','PC3','PC4'],\n",
    "                 yticklabels=list(X_df.columns),\n",
    "                 cbar_kws={\"orientation\": \"vertical\"},\n",
    "                 vmin=-1, vmax=1,\n",
    "                 annot = True)\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title('V')\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax = sns.heatmap(V.T@V,\n",
    "                 cmap='RdBu_r',\n",
    "                 xticklabels=['PC1','PC2','PC3','PC4'],\n",
    "                 yticklabels=['PC1','PC2','PC3','PC4'],\n",
    "                 cbar_kws={\"orientation\": \"vertical\"},\n",
    "                 vmin=-1, vmax=1,\n",
    "                 annot = True)\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title('V.T@V')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b746692e-1c6d-4575-906a-25ebc8d6d993",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Convert V array to dataframe\n",
    "V_df = pd.DataFrame(data=V, \n",
    "                    columns = ['PC1','PC2','PC3','PC4'], \n",
    "                    index   = tickers[1:])\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "sns.lineplot(data=V_df,markers=True, dashes=False,palette = \"husl\")\n",
    "plt.axhline(y=0, color='r', linestyle='-')\n",
    "\n",
    "V_df.to_excel('V.xlsx')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9d6788ff-ffe9-4ee3-9dc1-d010ecae9941",
   "metadata": {},
   "outputs": [],
   "source": [
    "#%%\n",
    "\n",
    "#%% projected data, Z\n",
    "\n",
    "Z_df = X_df@V\n",
    "\n",
    "Z_df = Z_df.rename(columns={0: \"PC1\", 1: \"PC2\", 2: \"PC3\", 3: \"PC4\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "78968ab6-9525-491e-b02f-2e6fa03b5d49",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Distribution of Z columns')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax = sns.heatmap(Z_df,\n",
    "                 cmap='RdBu_r',\n",
    "                 cbar_kws={\"orientation\": \"vertical\"}, \n",
    "                 yticklabels=False,\n",
    "                 vmin = -0.2, vmax = 0.2)\n",
    "plt.title('Z')\n",
    "\n",
    "# distribution of column features of Z\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "sns.kdeplot(data=Z_df,fill=False, \n",
    "            common_norm=False, \n",
    "            alpha=.3, linewidth=1,\n",
    "            palette = \"viridis\")\n",
    "plt.title('Distribution of Z columns')\n",
    "\n",
    "#%% Scree plot\n",
    "\n",
    "# pcamodel.explained_variance_\n",
    "# pcamodel.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "0882fe79-4dde-4233-bf25-e545b295e276",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "color = 'tab:red'\n",
    "ax1.set_xlabel('Principal component')\n",
    "ax1.set_ylabel('Variance explained (%)', color=color)\n",
    "plt.plot(range(1,len(pcamodel.explained_variance_ratio_ )+1),\n",
    "         np.cumsum(pcamodel.explained_variance_ratio_,),\n",
    "         color=color)\n",
    "ax1.tick_params(axis='y', labelcolor=color)\n",
    "ax1.set_ylim([0,1])\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "\n",
    "color = 'tab:blue'\n",
    "ax2.set_ylabel('Variance', color=color)\n",
    "plt.bar(range(1,len(pcamodel.explained_variance_ )+1),pcamodel.explained_variance_ )\n",
    "\n",
    "ax2.tick_params(axis='y', labelcolor=color)\n",
    "fig.tight_layout() \n",
    "\n",
    "#%% Heatmap of covariance matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e4ef217c-a538-4a39-96e7-0266d2a8350d",
   "metadata": {},
   "outputs": [],
   "source": [
    "SIGMA_Z = Z_df.cov()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6b059dd1-6c2e-4e85-a936-ff6daaf4b762",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'X_apx')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(SIGMA_Z,cmap='RdBu_r', linewidths=.05, annot = True)\n",
    "h.set_aspect(\"equal\")\n",
    "\n",
    "#%% approximate X\n",
    "\n",
    "X_apx = Z_df@V.T\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax = sns.heatmap(X_apx,\n",
    "                 cmap='RdBu_r',\n",
    "                 cbar_kws={\"orientation\": \"vertical\"}, \n",
    "                 yticklabels=False,\n",
    "                 xticklabels = labels[1:],\n",
    "                 vmin = -0.2, vmax = 0.2)\n",
    "plt.title('X_apx')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "9807ca11-eb61-47fe-a4f3-15ecc3c3dbd6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Error')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax = sns.heatmap(X_df.to_numpy() - X_apx,\n",
    "                 cmap='RdBu_r',\n",
    "                 cbar_kws={\"orientation\": \"vertical\"}, \n",
    "                 yticklabels=False,\n",
    "                 xticklabels = labels[1:],\n",
    "                 vmin = -0.2, vmax = 0.2)\n",
    "plt.title('Error')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "12b01613-60af-4ea1-9096-dd28804f79a3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                  SP500   R-squared:                       0.925\n",
      "Model:                            OLS   Adj. R-squared:                  0.924\n",
      "Method:                 Least Squares   F-statistic:                     759.3\n",
      "Date:                Tue, 21 Nov 2023   Prob (F-statistic):          4.39e-137\n",
      "Time:                        20:21:27   Log-Likelihood:                 930.20\n",
      "No. Observations:                 251   AIC:                            -1850.\n",
      "Df Residuals:                     246   BIC:                            -1833.\n",
      "Df Model:                           4                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -0.0004      0.000     -1.055      0.293      -0.001       0.000\n",
      "PC1            0.2399      0.005     51.045      0.000       0.231       0.249\n",
      "PC2            0.0434      0.008      5.730      0.000       0.028       0.058\n",
      "PC3            0.2263      0.011     19.703      0.000       0.204       0.249\n",
      "PC4            0.0519      0.016      3.239      0.001       0.020       0.083\n",
      "==============================================================================\n",
      "Omnibus:                       14.428   Durbin-Watson:                   2.065\n",
      "Prob(Omnibus):                  0.001   Jarque-Bera (JB):               34.448\n",
      "Skew:                           0.160   Prob(JB):                     3.31e-08\n",
      "Kurtosis:                       4.787   Cond. No.                         42.3\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
      "const   -0.000407\n",
      "PC1      0.239895\n",
      "PC2      0.043421\n",
      "PC3      0.226274\n",
      "PC4      0.051882\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%%\n",
    "\n",
    "#%% Least square regression\n",
    "\n",
    "import statsmodels.api as sm\n",
    "\n",
    "# add a column of ones\n",
    "Z_plus_1_df = sm.add_constant(Z_df)\n",
    "\n",
    "model = sm.OLS(y_df, Z_plus_1_df)\n",
    "results = model.fit()\n",
    "print(results.summary())\n",
    "\n",
    "p_Z = model.fit().params\n",
    "print(p_Z)\n",
    "\n",
    "#%% coefficients\n",
    "\n",
    "b_Z = p_Z[1:].T\n",
    "b_X = V@b_Z\n",
    "\n",
    "b_X_df = pd.DataFrame(data=b_X.T, index = tickers[1:])\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "b_X_df.plot.bar()\n",
    "\n",
    "b0 = y_df.mean() - X_df.mean().T@b_X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "976492de-c548-4b43-959d-250dc1a29ba1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8649744942884006\n",
      "0.9065814359498245\n",
      "0.9305102172698639\n",
      "0.9520815742576642\n",
      "0.9697735469227441\n",
      "0.9791986678012605\n"
     ]
    }
   ],
   "source": [
    "#%%\n",
    "\n",
    "#%% increasing number of principal components\n",
    "\n",
    "coeff_df = pd.DataFrame()\n",
    "explained_array = []\n",
    "\n",
    "num_PCs = [4,5,6,7,8,9]\n",
    "\n",
    "for num_PC in num_PCs:\n",
    "    \n",
    "    pcamodel = PCA(n_components=num_PC)\n",
    "    pca = pcamodel.fit_transform(X_df)\n",
    "    V = pcamodel.components_.transpose()\n",
    "    Z_df = X_df@V\n",
    "\n",
    "    Z_plus_1_df = sm.add_constant(Z_df)\n",
    "    model = sm.OLS(y_df, Z_plus_1_df)\n",
    "    p_Z = model.fit().params\n",
    "    \n",
    "    b_Z = p_Z[1:].T\n",
    "    b_X = V@b_Z\n",
    "    b_X_df = pd.DataFrame(data=b_X.T, index = tickers[1:], columns = ['PC1~' + str(num_PC)])\n",
    "    explained = np.sum(pcamodel.explained_variance_ratio_)\n",
    "    print(explained)\n",
    "    \n",
    "    explained_array.append(explained)\n",
    "    \n",
    "    coeff_df = pd.concat([coeff_df, b_X_df], axis = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "df6f915e-b5f6-48d8-9167-24c918be9fed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 6 artists>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "plt.bar(num_PCs, explained_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "4dcf47c6-f6f0-4d33-9410-5a75aa2faff0",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "h = sns.lineplot(data=coeff_df,markers=True, dashes=False,palette = \"husl\")\n",
    "plt.axhline(y=0, color='r', linestyle='-')\n",
    "h.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "ede4853e-96fe-4af8-a881-53e12737529c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "h = sns.lineplot(data=coeff_df.T,markers=True, dashes=False,palette = \"husl\")\n",
    "plt.axhline(y=0, color='r', linestyle='-')\n",
    "h.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "plt.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
